R.E. degrees of continuous functionals

1983 ◽  
Vol 23 (1) ◽  
pp. 79-98 ◽  
Author(s):  
Dag Normann
Keyword(s):  
Continuous Functionals

scholarly journals Continuous functionals for unbounded convergence in Banach lattices

2021 ◽  
Author(s):  
Zhangjun Wang ◽  
Zili Chen ◽  
Jinxi Chen
Keyword(s):  
Banach Lattices ◽  
Continuous Functionals

scholarly journals Some hemivariational inequalities in the Euclidean space

2019 ◽  
Vol 9 (1) ◽  
pp. 958-977 ◽  
Author(s):  
Giovanni Molica Bisci ◽  
Dušan Repovš
Keyword(s):  
Weak Solution ◽  
Euclidean Space ◽  
Sobolev Space ◽  
Hemivariational Inequalities ◽  
Existence Of Weak Solutions ◽  
Lipschitz Continuous ◽  
Variational Structure ◽  
Locally Lipschitz ◽  
Sign Changing Solutions ◽  
Continuous Functionals

Abstract The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find a non-trivial weak solution for them by using variational methods and a non-smooth version of the Palais principle of symmetric criticality for locally Lipschitz continuous functionals, due to Krawcewicz and Marzantowicz. The main tools in our approach are based on appropriate theoretical arguments on suitable subgroups of the orthogonal group O(d) and their actions on the Sobolev space H1(ℝd). Moreover, under an additional hypotheses on the dimension d and in the presence of symmetry on the nonlinear datum, the existence of multiple pairs of sign-changing solutions with different symmetries structure has been proved. In connection to classical Schrödinger equations a concrete and meaningful example of an application is presented.

scholarly journals Representable and Continuous Functionals on Banach Quasi *-Algebras

2017 ◽  
Vol 14 (4) ◽  
Author(s):  
Maria Stella Adamo ◽  
Camillo Trapani
Keyword(s):  
Continuous Functionals

scholarly journals Filter spaces and continuous functionals

1979 ◽  
Vol 16 (2) ◽  
pp. 101-143 ◽  
Author(s):  
J.M.E. Hyland
Keyword(s):  
Continuous Functionals
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